305820064 has 48 divisors (see below), whose sum is σ = 662086656. Its totient is φ = 137894400.

The previous prime is 305820041. The next prime is 305820071. The reversal of 305820064 is 460028503.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41284 + ... + 48124.

It is an arithmetic number, because the mean of its divisors is an integer number (13793472).

Almost surely, 2^305820064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305820064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331043328).

305820064 is an abundant number, since it is smaller than the sum of its proper divisors (356266592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

305820064 is a wasteful number, since it uses less digits than its factorization.

305820064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6989 (or 6981 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 305820064 is about 17487.7118000040. The cubic root of 305820064 is about 673.7343004937.

Adding to 305820064 its reverse (460028503), we get a palindrome (765848567).

The spelling of 305820064 in words is "three hundred five million, eight hundred twenty thousand, sixty-four".